Simulation of the complex dynamics of mean-field p -spin models using measurement-based quantum feedback control
Simulation of the complex dynamics of mean-field p -spin models using measurement-based quantum feedback control
复制标题
使用基于测量的量子反馈控制模拟平均场 p 自旋模型的复杂动力学
DOI：
10.1103/physreva.102.022610
复制
发表时间：
2020
影响因子：
2.9
通讯作者：
Poggi, Pablo M.
中科院分区：
文献类型：
--
作者：
Muñoz-Arias, Manuel H.;Deutsch, Ivan H.;Jessen, Poul S.;Poggi, Pablo M.
我们研究了一种利用量子测量和反馈来模拟多体自旋系统非线性动力学的新方法的应用[Muñoz-Ariaset等，物理学。[j] .物理学报，2012,39 (1):1- 2 - 2 . (2020)[j] .物理学报。该方法通过将集体自旋的一个分量的非射影测量与基于测量结果的全局旋转相结合，模拟了热力学极限下期望的平均场动力学。我们应用该协议来模拟自旋哈密顿量的动力学，并演示了如何使用我们的协议可以很容易地获得平均场状态中的临界性的不同方面。我们研究了不同参数值下集体自旋绝热动力学中动态相变的性质和自发对称破缺的出现。我们还演示了如何使用该方法来研究动力学中连续的量子到经典跃迁作为系统大小的函数。
We study the application of a new method for simulating nonlinear dynamics of many-body spin systems using quantum measurement and feedback [Muñoz-Ariaset al., Phys. Rev. Lett. 124, 110503 (2020)PRLTAO0031-900710.1103/PhysRevLett.124.110503] to a broad class of many-body models known as-spin Hamiltonians, which describe Ising-like models on a completely connected graph with-body interactions. The method simulates the desired mean-field dynamics in the thermodynamic limit by combining nonprojective measurements of a component of the collective spin with a global rotation conditioned on the measurement outcome. We apply this protocol to simulate the dynamics of the-spin Hamiltonians and demonstrate how different aspects of criticality in the mean-field regime are readily accessible with our protocol. We study applications including properties of dynamical phase transitions and the emergence of spontaneous symmetry breaking in the adiabatic dynamics of the collective spin for different values of the parameter. We also demonstrate how this method can be employed to study the quantum-to-classical transition in the dynamics continuously as a function of system size.